Two Preisach type vector hysteresis models

Two isotropic vector hysteresis models are constructed based on the classical Preisach model, to be applied in magnetostatic computations with an integral equation formulation. One model endows complete Preisach operators with orientation governed by a friction-like mechanism. The other approach--a natural generalization of the classical Preisach model--considers a set of vector operators with various coercive fields, mean interaction field (shifted spheres of various radii) and weights. The principles of the inclusion of these models in magnetostatic computations are outlined